138117360 has 40 divisors (see below), whose sum is σ = 428164560. Its totient is φ = 36831232.

The previous prime is 138117347. The next prime is 138117373. The reversal of 138117360 is 63711831.

It is an interprime number because it is at equal distance from previous prime (138117347) and next prime (138117373).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287505 + ... + 287984.

It is an arithmetic number, because the mean of its divisors is an integer number (10704114).

Almost surely, 2^138117360 is an apocalyptic number.

138117360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138117360 is an abundant number, since it is smaller than the sum of its proper divisors (290047200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138117360 is a wasteful number, since it uses less digits than its factorization.

138117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575505 (or 575499 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 138117360 is about 11752.3342362273. The cubic root of 138117360 is about 516.9113753511.

The spelling of 138117360 in words is "one hundred thirty-eight million, one hundred seventeen thousand, three hundred sixty".